Question

the circumference of the base of a 10 height conical tent is 44m. Calculate the length of canvas used in the tent if width of canvas is 2m (use π= 22/7)​

Answer 1

Given :

• The circumference of the base of a 10 height conical tent is 44m =?

To find :

• The length of canvas used in the tent if width of canvas is 2m =?

Step-by-step explanation :

Circumference of base of tent = 44m [Given]

We know that, ,

Circumference of circle = 2πr

Substituting the values in the above formula, we get

44m = 2 × 22/7 × r

r = 7 × 44/44

r = 7m

Therefore, Radius of base of tent , r = 7m

And,

Height of conical tent, h = 10m [Given]

We know that :

Slant height of conical tenth , l = √(h² + r²)

Substituting the values in the above formula, we get,

= √{10² + 7²}

= √{100 + 49}

= √149

= √12.2 × 12.2

= 12.2 m

Now,

Surface area of tent = area of rectangular canvas

Or,

πrl = Length × Breadth

Substituting the values in the above formula, we get,

➮ 22/7 × 7 × 12.2 = Length × 2m

➮ 22 × 12.2/2 = Length

➮ 22 × 6.1 = Length

➮ 134.2 = Length

Therefore, length of canvas used in length of canvas used in making the tent is 134.2m

Answer 2

Answer:

Length of canvas used in making the tent is 134.2m .

Step-by-step explanation:

Circumference of base of tent = 44m

circumference of circle = 2πr

44m = 2 × 22/7 × r

( 44 × 7 )/ (22 × 2) = r

7 = r

r = 7

height of conical tent(h) = 10m

slant height of conical tent( l ) = √(h² + r²)

√{10² + 7²}

√{100 + 49}

12.2 m

now,

surface area of tent = area of rectangular canvas

πrl = L × B

22/7 × 7 × 12.2 = L × 2m

22 × 6.1 = L

L = 134.2 m

hence

length of canvas used in making the tent is 134.2m .

Ans...

My answer is right .